On the development and verification of a 2-D coupled wave-current model on unstructured meshes

Journal of Marine Systems

Volumn 78, Issue SUPPL. 1, 2009, Pages

  Roland, Aron ^a   Cucco, Andrea ^b   Ferrarin, Christian ^c   Hsu, Tai We ^d   Liau, Jian Ming ^e,g   Ou, Shan Hwei ^f   Umgiesser, Georg ^c   Zanke, Ulrich ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b CNR   (Italy)

^c CNR   (Italy)

^d NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^e National Applied Research Laboratoriese   (Taiwan)

^f TAJEN UNIVERSITY   (Taiwan)

^g Taiwan Typhoon and Flood Research Institute ^*  (Taiwan)

Author keywords

Shallow water equations; Spectral wave modelling; Unstructured meshes; Wave current interactions

Indexed keywords

CODES (SYMBOLS); EQUATIONS OF MOTION; FLOODS; HURRICANES; HYDRODYNAMICS; LAKES; MEAN SQUARE ERROR; STORMS; WATER LEVELS;

CORRELATION COEFFICIENT; FINITE ELEMENTS MODELS; ROOT MEAN SQUARE ERRORS; SHALLOW WATER EQUATIONS; UNSTRUCTURED MESHES; WAVE CURRENT INTERACTION; WAVE MODELLING; WAVE-ACTION EQUATIONS;

FINITE ELEMENT METHOD;

BATHYMETRY; COASTAL LAGOON; FINITE ELEMENT METHOD; FLOODING; HINDCASTING; HURRICANE IVAN 2004; HYDRODYNAMICS; HYDROLOGICAL MODELING; IN SITU MEASUREMENT; MODEL TEST; MODEL VALIDATION; NUMERICAL MODEL; SHALLOW-WATER EQUATION; STORM SURGE; TWO-DIMENSIONAL MODELING; WATER LEVEL; WAVE ACTION; WAVE HEIGHT; WAVE MODELING; WAVE SETUP; WAVE-CURRENT INTERACTION; WIND WAVE;

ADRIATIC SEA; ALABAMA; ATLANTIC OCEAN; DAUPHIN ISLAND; GULF OF MEXICO; ITALY; MEDITERRANEAN SEA; UNITED STATES; VENETO; VENEZIA [VENETO]; VENICE LAGOON;

EID: 78649976101     PISSN: 09247963     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmarsys.2009.01.026     Document Type: Article

References (59)

1. Abgrall, R., Mezine, M., 2003. Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems. J. Comput. Phys. 188, 16-55.
2. Alves, J.H.G.M., Greenslade, D.J.M., Banner, M.L., 2002. Impact of a saturation-dependent dissipation source function on operational hindcasts of wind-waves in the Australian Region. J. Atmos. Ocean Sci. 8 (4), 239-267.
3. Ardhuin, F., Herbers, T.H.C., van Vledder, G.P., Watts, K.P., Jensen, R., Graber, H.C., 2007. Swell and slanting-fetch effects on wind wave growth. J. Phys. Oceanogr. 37, 908-931.
4. Ardhuin, F., Rascle, N., Belibassakis, K.A., 2008a. Explicit wave-averaged primitive equations using a generalized lagrangian mean. Ocean Model. 20, 35-60.
5. Ardhuin, F., Collard, F., Chapron, B., Queffeulou, P., Filipot, J.-F., Hamon, M., 2008b. Spectral wave dissipation based on observations: a global validation. Chinese-German Joint Symposium on Hydraulic and Ocean Engineering, Darmstadt, Germany.
6. Babanin, A., Tsagareli, K., Young, I., Walker, D., 2007. Implementation of new experimental input/dissipation terms for modelling spectral evolution of wind waves. 10th International Workshop on Wave Hindcasting and Forecasting, North Shore, Oahu, Hawaii.
7. Battjes, J.A., 1972. Radiation stresses in short-crested waves. J. Mar. Res. 30, 56-64.
8. Battjes, J.A., Janssen, J.P.F.M., 1978. Energy loss and set-up due to breaking of random waves. Proc. 16th Int. Conf. Coastal Engineering, ASCE, pp. 569-587.
9. Bellafiore, D., Umgiesser, G., Cucco, A., 2008. Modelling thewater exchange between the Venice Lagoon and the Adriatic Sea. Ocean Dynamics. WWW Page, http://www.springerlink.com/content/6457522363787750/fulltext.pdf. doi:10.1007/s10236-008-0152-7.
10. Bouws, E., Komen, G.J., 1983. On the balance between growth and dissipation in an extreme depth-limited wind-sea in the southern North Sea. J. Phys. Oceanogr. 13, 1653-1658.
11. Cavaleri, L., 2000. The oceanographic tower Acqua Alta - activity and prediction of sea states at Venice. Coast. Eng. 39 (1), 29-70.
12. Cavaleri, L., Bertotti, L., 1997. In search of the correct wind and wave fields in a minor basin. Mon. Weather Rev. 125 (8), 1964-1975.
13. Cucco, A., Umgiesser, G., 2005. Modeling the Venice Lagoon residence time. Ecol. Model. 193 (1-2), 34-51.
14. Csík, Á., Ricchiuto, M., Deconinck, H., 2002. A conservative formulation of the multidimensional upwind residual distribution schemes for general non linear conservation laws. J. Comput. Phys. 179 (1), 286-312.
15. Donea, J., 1984. A Taylor-Galerkin Method for Convective Transport Problem. Int. J. Numer. Methods Eng. 20, 101-119.
16. Eldeberky, Y., 1996. Nonlinear Transformation of Wave Spectra in the Nearshore Zone, Ph.D. Thesis, TU-Deft, The Netherlands.
17. Ferrarin, C., Umgiesser, G., 2005. Hydrodynamic modeling of a coastal lagoon: the Cabras lagoon in Sardinia, Italy. Ecol. Model. 188, 340-357.
18. Ferrarin, C., Umgiesser, G., Cucco, A., Hsu, T.-W., Roland, A., Amos, C.L., 2008. Development and validation of a finite element morphological model for shallow water basins. Coast. Eng. 55 (9), 716-731.
19. Goldt, S., van der Meer, S., Burkett, S., Welsh, M., 1995. The Linux Programmer's Guide. WWW Page, http://tldp.org/LDP/lpg/.
20. Günther, H., Hasselmann, S., Janssen, P., 1992. The WAM model Cycle 4 (revised version). Dtsch. Klim. Rechenzentrum, Tech. Rep. 4.
21. Hasselmann, K., 1962. On the non-linear energy transfer in a gravity wave spectrum, part 1: general theory. J. Fluid Mech. 12, 481-501.
22. Hasselmann, S., Hasselmann, K., 1985. Computations and parameterizations of the nonlinear energy transfer in a gravity-wave spectrum. Part I: A new method for efficient computations of the exact nonlinear transfer integral. J. Phys. Oceanogr. 15 (1), 369-377.
23. Hasselmann, K., Barnett, T.P., Bouws, H., Carlson, H., Cartright, D.E., Enke, K., Ewing, J.A., Gineapp, H., Hasselmann, D.E., Kruseman, P., Meerburg, A., Muller, P., Olbers, D.J., Richter, K., Sell, W., Walden, H., 1973. Measurements of wind wave growth and swell decay during the Joint North SeaWave Project (JONSWAP). Dtsch. Hydrogr. Z., SUPPL. 12, A8.
24. Hashimoto, N., Kawaguchi, K., 2001. Extension and modification of Discrete Interaction Approximation (DIA) for computing nonlinear energytransfer of gravity wave spectrum. Ocean Wave Measurement and Analysis. ASCE, New York, pp. 530-539.
25. Hubbard, M.E., Roe, P.L., 2000. Compact high-resolution algorithms for time-dependent advection on unstructured grids. Int. J. Numer. Methods Fluids 33, 711-736.
26. Hsu, T.-W., Ou, S.-H., Liau, J.-M., 2005a. Hindcasting near shore wind waves using a FEM code for SWAN. Coast. Eng. 52, 177-195.
27. Hsu, T.-W., Ou, S.-H., Liau, J.-M., Zanke, U., Roland, A., Mewis, P., 2005b. Development and implement of a spectral finite element wave model, Waves 2005, ASCE/COPRI. The Fifth International Symposium on Wave Measurement and Analysis. Ed. Billy Edge, Madrid, Spain.
28. Hsu, T.-W., Ou, S.-H., Liau, J.-M., Lin, J.-G., Kao, C.-C., Roland, A., Zanke, U., Shin, C.-Y., 2006. Application of data assimilation for spectral wave model on unstructured meshes. The 25th International Conference on Offshore Mechanics and Arctic Engineering, Hamburg, Germany.
29. Karypis, G., Kumar, V., 1999. A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM J. Sci. Comput. 20 (1), 359-392.
30. Komen, G.J., Hasselmann, K., Hasselmann, S., 1984. On the existence of a fully developed wind sea spectrum. J. Phys. Oceanogr. 14, 1271-1285.
31. Kudryavtsev, V.N., Makin, V.K., Chapron, B., 1999. Coupled sea surface-atmosphere model 2. Spectrum of short wind waves. J. Geophys. Res. 104, 7625-7639.
32. Leonard, B.P., 1991. The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection. Comput. Methods Appl. Mech. Eng. 88, 17-74.
33. Longuet-Higgins, M.S., Stewart, R.W., 1964. Radiation stresses in water waves; A physical discussion with applications. Deep-Sea Res. 11, 529-562.
34. Makin, V.K., Kudryavtsev, V.N., 1999. Coupled sea surface-atmosphere model 1. Wind over waves coupling. J. Geophys. Res. 104, 7613-7623.
35. Makin, V.K., Stam, M., 2003. New drag formulation in NEDWAM. KNMI, Technical Report: TR-250. De Bilt, The Netherlands. WWW Page, www.knmi.nl/publications/fulltexts/makinstam.pdf.
36. Malguzzi, P., Grossi, G., Buzzi, A., Ranzi, R., Buizza, R., 2006. The 1966 " century" flood in Italy: a meteorological and hydrological revisitation. J. Geophys. Res. 111. doi:10.1029/2006JD007111.
37. Mastenbroek, C., Burgers, G., Janssen, P., 1993. The dynamical coupling of a wave model and a storm surge model through the atmospheric boundary layer. J. Phys. Oceanogr. 23, 1856-1867.
38. Majewski, D., Frank, H., Liermann, D., Ritter, B., 2002. Kurze Beschreibung des Global-Modells GME (40 km/L 40) und seiner Datenbanken auf dem Datenserver (DAS3/4) des DWD, German Weather Service (DWD). Offenbach, Germany. NDBC (National Data Buoy Center), WWW Page, http://www.ndbc.noaa.gov/hmd.shtml.
39. Patankar, S., 1980. Numerical Heat Transfer and Fluid Flow. McGraw-Hill.
40. Rasmussen, H., 1998. Stochastic and Deterministic Modelling of Surface Gravity Waves in Finite Depth, PhD Thesis, Technical University of Denmark (DTU), Institute for Hydrodynamics and Hydraulic Engineering.
41. Ricchiuto, M., Csík, Á., Deconinck, H., 2005. Residual distribution for general timedependent conservation laws. J. Comput. Phys. 209 (1), 249-289.
42. Roland, A., 2009. Development of WWM II - Spectral wave modelling on unstructured meshes, PhD Thesis, Darmstadt University of Technology, Institute for Hydraulic Engineering and Water Resources Management, Darmstadt, Germany.
43. Roland, A., Mewis, P., Zanke, U., Ou, S.-H., Hsu, T.-W., Liau, J.-M., 2005. Verification and improvement of a spectral finite element wave model, Waves 2005, ASCE/COPRI. The Fifth International Symposium on Wave Measurement and Analysis. Ed. Billy Edge, Madrid, Spain.
44. Roland, A., Zanke, U., Hsu, T.-W., Ou, S.-H., Liau, J.-M., Wang, S.-K., 2006a. Verification a 3rd generation FEM spectral wave model for shallow and deep water applications. The 25th International Conference on Offshore Mechanics and Arctic Engineering, Hamburg, Germany.
45. Roland, A., Zanke, U., Hsu, T.-W., Ou, S.-H., Liau, J.-M., 2006b. Spectralwave modelling on unstructured grids with the WWM (Wind Wave Model) I: The deep water cases. Third Chinese-German Joint Symposium on Coastal and Ocean Engineering, Tainan, Taiwan.
46. Scroccaro, I., Matarrese, R., Umgiesser, G., 2004. Application of a finite element model to the Taranto Sea. Chem. Ecol. 20 (Suppl. 1), 205-224.
47. Selmin, V., Donea, J., Quartapelle, L., 1985. Finite element methods for nonlinear advection. Comput. Methods Appl. Mech. Eng. 52, 817-845.
48. Smith, J.A., 2006. Wave-current interactions in finite-depth. J. Phys. Oceanogr. 36 (7), 1403-1419.
49. Stiassnie, M., 2001. Nonlinear interaction of inhomogeneous random water wave. ECMWF Report of the Workshop on Ocean Waves Forecasting, Reading, U.K.
50. Tolman, H.L., 1995. On the selection of propagation schemes for a spectral wind-wave model. NWS/NCEP Office Note 411, NCEP/OMW, 5200 Auth Road, Camp Springs, MD 21401.
51. Tolman, H.L., 2002. User manual and system documentation ofWAVEWATCH-III version 2.22. Technical Report 222, NOAA/NWS/NCEP/MMAB. WWW Page, http://polar.ncep.noaa.gov/waves/wavewatch/wavewatch.html.
52. Umgiesser, G., 1997. Modelling the Venice Lagoon. Int. J. Salt Lake Res. 6, 175-199.
53. Umgiesser, G., Bergamasco, A., 1995. Outline of a primitive equations finite element model. Rapporto e Studi, Istituto Veneto of Scienze, Lettere ed Arti XII, pp. 291-320.
54. Umgiesser, G., Melaku Canu, D., Cucco, A., Solidoro, C., 2004. A finite element model for the Venice Lagoon. Development, set up, calibration and validation. J. Mar. Syst. 51, 123-145.
55. van Vledder, G.Ph., 2006. The WRT method for the computation of non-linear four-wave interactions in discrete spectral wave models. Coast. Eng. 53, 223-242.
56. Whitham, G.B., 1974. Linear and Nonlinear Waves. Wiley, New York.
57. Yanenko, N.N., 1971. The Method of Fractional Steps. Springer-Verlag.
58. Zakharov, V.E., 1968. Stability of finite amplitude periodic waves on deep liquid surface. J. Appl. Mech. Tech. Phys. 2, 86-91.
59. Zanke, U., Roland, A., Hsu, T.W., Ou, S.H., Liau, J.M., 2006. Spectral wave modelling on unstructured grids with the WWM (Wind Wave Model) - II: The shallow water cases. Third Chinese-German Joint Symposium on Coastal and Ocean Engineering (JOINT2006), Tainan, Taiwan.